Existence des solutions périodiques positives pour certaine classe d’équations différences a retards
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Date
2024
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Publisher
Faculty of Sciences
Abstract
Fixed point theory has a long history of being used in nonlinear difference
and differential equations, in order to prove existence, uniqueness, or other
qualitative properties of solutions. However, using the fixed point theorem
for the periodicity of solutions has a more recent appearance. In this disser-
tation, we focus on the study of the quantitative and qualitative properties
of some nonlinear delay differences and differential equations. We start by
giving some fixed point theorems. After we introduce results for delay differ-
ential equations and necessary relevant definitions. Finally, we derive some
suffcient conditions for the existence of positive periodic solutions for the
system of neutral difference equations, by using the Krasnoselskii Öxed-point
theorem. An example is also given to illustrate the claims establishe